Search a number
-
+
142550304 = 25313176719
BaseRepresentation
bin10000111111100…
…10010100100000
3100221020022020220
420133302110200
5242443102204
622051203040
73350441361
oct1037622440
9327208226
10142550304
1173514176
123b8a6480
13236c10c0
1414d09b68
15c7ac1d9
hex87f2520

142550304 has 96 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 41275392.

The previous prime is 142550273. The next prime is 142550311. The reversal of 142550304 is 403055241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17857 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2142550304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142550304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

142550304 is an abundant number, since it is smaller than the sum of its proper divisors (284196576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142550304 is a wasteful number, since it uses less digits than its factorization.

142550304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 142550304 is about 11939.4432030979. The cubic root of 142550304 is about 522.3834178974.

The spelling of 142550304 in words is "one hundred forty-two million, five hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 6719 7072 10608 13438 20157 21216 26876 40314 53752 80628 87347 107504 114223 161256 174694 215008 228446 262041 322512 342669 349388 456892 524082 645024 685338 698776 913784 1048164 1370676 1397552 1484899 1827568 2096328 2741352 2795104 2969798 3655136 4192656 4454697 5482704 5939596 8385312 8909394 10965408 11879192 17818788 23758384 35637576 47516768 71275152 142550304